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RAJMIC, P. PRŮŠA, Z.
Original Title
Discrete Wavelet Transform of Finite Signals: Detailed Study of the Algorithm
Type
journal article in Web of Science
Language
English
Original Abstract
The paper presents a detailed analysis of algorithms used for the forward and the inverse discrete wavelet transform (DWT) of finite-length signals. The paper provides answers to questions such as "how many wavelet coefficients are computed from the signal at a given depth of the decomposition" or conversely, "how many signal samples are needed to compute a single wavelet coefficient at a given depth of the decomposition" or "how many coefficients at a given depth are influenced by the selected type of boundary treatment" or "how many samples of the input signal simultaneously influence two neighboring wavelet coefficients at a given depth of the decomposition". As a byproduct, the rigorous analysis of the algorithms gives details needed for the implementation. The paper is accompanied by several Matlab functions.
Keywords
DTWT; wavelet transform; analysis; study; algorithm; details; computation of coefficients
Authors
RAJMIC, P.; PRŮŠA, Z.
RIV year
2014
Released
1. 1. 2014
Publisher
World Scientific Publishing Company
ISBN
0219-6913
Periodical
International Journal of Wavelets Multiresolution and Information Processing
Year of study
12
Number
1
State
Republic of Singapore
Pages from
1450001-1
Pages to
1450001-38
Pages count
38
URL
http://www.worldscientific.com/doi/abs/10.1142/S0219691314500015